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112434144040 = 23519129350227
BaseRepresentation
bin110100010110110011…
…0001110001100101000
3101202012201200022021001
41220231212032030220
53320231120102130
6123352421524344
711060136312211
oct1505546161450
9352181608231
10112434144040
11437571635a9
1219959b736b4
13a7aa8abb1a
1456285b0408
152dd0b656ca
hex1a2d98e328

112434144040 has 64 divisors (see below), whose sum is σ = 255174312960. Its totient is φ = 44584615680.

The previous prime is 112434144007. The next prime is 112434144041. The reversal of 112434144040 is 40441434211.

It is not an unprimeable number, because it can be changed into a prime (112434144041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213407 + ... + 2263633.

It is an arithmetic number, because the mean of its divisors is an integer number (3987098640).

Almost surely, 2112434144040 is an apocalyptic number.

112434144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112434144040 is an abundant number, since it is smaller than the sum of its proper divisors (142740168920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112434144040 is a wasteful number, since it uses less digits than its factorization.

112434144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50722 (or 50718 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112434144040 its reverse (40441434211), we get a palindrome (152875578251).

The spelling of 112434144040 in words is "one hundred twelve billion, four hundred thirty-four million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 191 293 382 586 764 955 1172 1465 1528 1910 2344 2930 3820 5860 7640 11720 50227 55963 100454 111926 200908 223852 251135 279815 401816 447704 502270 559630 1004540 1119260 2009080 2238520 9593357 14716511 19186714 29433022 38373428 47966785 58866044 73582555 76746856 95933570 117732088 147165110 191867140 294330220 383734280 588660440 2810853601 5621707202 11243414404 14054268005 22486828808 28108536010 56217072020 112434144040